The National Council of Educational Research and Training (NCERT) is an autonomous body of the Indian government that formulates the curricula for schools in India that are governed by the Central Board of Secondary Education (CBSE) and certain state boards. Therefore, students who will be taking the Class 10 tests administered by various boards should consult this NCERT Syllabus in order to prepare for those examinations, which in turn will assist those students get a passing score.

You can also download the NCERT SOLUTIONS FOR CLASS 8 MATHS CHAPTER 9 ALGEBRAIC EXPRESSIONS AND IDENTITIES to assist you in comprehensively reviewing the course material and achieving a higher score on your upcoming assessments.

Students are able to create a strong conceptual basis with the help of the NCERT Solutions PDFs available at SWC. This base plays a key part in the students’ preparation for the latter phases of the competitive examinations. We give comprehensive answers to challenges posed by NCERT in accordance with the methodology provided by CBSE. The students are able to effortlessly prepare all of the ideas that are presented in their respective courses better and more successfully, and they are even able to succeed in passing the most difficult competitive examinations, such as JEE Main, JEE Advanced, NEET, AIMS, and so on.

Your academic journey begins a new stage as you reach the eighth grade, and a new facet of learning awaits you. This is the year where pupils begin to acquire an interest in the topic at hand, and it is also the year in which you choose whether you will study business, humanity, or science in the following year (class 12). As a consequence of this, having a solid foundation of knowledge in fields such as mathematics and physics comes highly recommended. The NCERT textbook for class 8 is the greatest book now available on the market for enhancing one’s education in the areas of mathematics and science. Read up on the theory that is presented in the book for grade 8 and answer all of the questions that are posed in the practice section of the NCERT textbook.

## NCERT SOLUTIONS FOR CLASS 8 MATHS CHAPTER 9 ALGEBRAIC EXPRESSIONS AND IDENTITIES – Exercises

### NCERT Solutions for Class 8 Maths Exercise 9.1

**Question 1.**

Identify the terms, their coefficients for each of the following expressions:

(i)

(ii) ** 1 + x + x²**

(iii)

(iv) **3 – pq + qr -rp**

(v) + – xy

(vi) **3 – pq + qr -rp**

**Solution :**

(i) Terms: and

Coefficient in is 5 and in is **-3**

(ii) Terms: **1, x **and** x²**

Coefficient of and coefficient of **x² ** is 1.

(iii) Terms: and ** z²**

Coefficient in is 4, coefficient of is -4 and coefficient of **z²** is 1.

(iv) Terms: **3, -pq, qr** and** -rp**

Coefficient of **-pq** is **-1,** coefficient of **qr** is 1 and coefficient of **-rp** is

(v) Terms: and** -xy**

Coefficient of is coefficient of is and coefficient of **-xy **is **-1.**

(vi) Terms: **0.3a, -0.6ab ** and **0.5b**

Coefficient of **0.3a** is 0.3, coefficient of **-0.6ab ** is **-0.6** and coefficient of **0.5b ** is 0.5.

**Question 2.**

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:

**Solution :**

(i) Since contains two terms. Therefore it is binomial.

(ii) Since 1000 contains one terms. Therefore it is monomial.

(iii) Since contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(iv) Since contains three terms. Therefore it is trinomial.

(v) Since contains two terms. Therefore it is binomial.

(vi) Since contains three terms. Therefore it is trinomial.

(vii) Since contains three terms. Therefore it is trinomial.

(viii) Since contains two terms. Therefore it is binomial.

(ix) Since contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(x) Since** pqr** contains one terms. Therefore it is monomial.

(xi) Since contains two terms. Therefore it is binomial.

(xii) Since **2p + 2q** contains two terms. Therefore it is binomial.

**Question 3.**

Add the following:

(i)

(ii)

(iii)

(iv)

**Solution :**

(i)

Hence the sum if 0.

Hence the sum is ** ab + ac + bc.**

**Question 4.**

**Solution :**

### NCERT Solutions for Class 8 Maths Exercise 9.2

**Question 1.**

Find the product of the following pairs of monomials:

(i)

(ii)

(iii)

(iv)

(iv) **4p ,0**

**Solution :**

(i) = =

(ii) =

=

(iii) =

=

(iv) =

=

(v)= = 0

**Question 2.**

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:

**Solution :**

(i) Area of rectangle

=

= sq. units

(ii) Area of rectangle

=

=

= **50mn** sq. units

(iii) Area of rectangle =

=

= sq. units

(iv) Area of rectangle =

=

= sq. units

(v) Area of rectangle =

=

= sq. units

**Question 3.**

Complete the table of products:

(i)

**Solution :**

(i)

**Question 4.**

Obtain the volume of rectangular boxes with the following length, breadth and height respectively:

(i)

(ii)

(iii)

(iv)

**Solution :**

(i) Volume of rectangular box

=

=cubic units

(ii) Volume of rectangular box

=

= cubic units

(iii) Volume of rectangular box

=

=cubic units

(iv) Volume of rectangular box

=

= cubic units

**Question 5.**

Obtain the product of:

(i)

(ii)

(iii)

(iv)

(v)

**Solution :**

(i)

=

(ii) =

=

(iii)

=

(iv)

=

(v)

=

### NCERT Solutions for Class 8 Maths Exercise 9.3

**Question 1.**

Carry out the multiplication of the expressions in each of the following pairs:

(i)

(ii)

(iii)

(iv)

(v)

**Solution :**

(i)

=

(ii)

=

(iii)

=

(iv)

=

(v) =

= 0 + 0 + 0 = 0

**Question 2.**

Complete the table:

**Solution :**

**Question 3.**

Find the product:

(i)

(ii)

(iii)

(iv)

**Solution :**

(i)

=

(ii)

=

=

(iii)

=

=

(iv) =

**Question 4.**

(a) Simplify: and find values for

(i)

(ii)

(b) Simplify: find its value for

(i)

(ii)

(iii)

**Solution :**

(a)

=

(i) For

=

= 108 – 45 + 3 = 66

(ii) For

=

=

=

(b)

=

(i) For a= 0,

=

= 0 + 0 + 0 + 5 = 5

(ii) For a = 1

=

= 1 + 1 + 1 + 5 = 8

(iii) For

=

= = =4

**Question 5.**

(a) Add: and

(b) Add:and

(c) Subtract: from

(d) Subtract: from

**Solution :**

(a)

=

=

(b)+

=

=

=

(c)

=

=

=

(d)

=

=

=

=

=

=

NCERT Solutions for Class 8 Maths Exercise 9.4

**Question 1.**

Multiply the binomials:

(i) and

(ii) and

(iii) and

(iv) and

(v) and

(vi) and

**Solution :**

(i)

=

=

=

(ii)

=

=

=

(iii)

=

=

=

(iv)

=

=

(v)

=

=

=

=

(vi)

=

=

=

**Question 2.**

Find the product:

(i)

(ii)

(iii)

(iv)

**Solution :**

(i)

=

= = 15 – x -2x²

(ii)

=

=

(iii)

=

=

(iv)

=

=

**Question 3.**

Simplify:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

**Solution :**

(i)

=

=

=

(ii)

=

=

=

(iii)

=

=

(iv)

=

=

=

=** 4ac**

(v)

=

=

=

(vi)

=

=

(vii)

=

=

=

(viii)

=

=

=

## Conclusions for NCERT Solutions Class 8 Maths Chapter 9

The academic team has provided NCERT answers for class 8 mathematics chapter-9. We’ve given solutions for all of Chapter 9’s exercises. These are step-by-step answers to all of the problems in Chapter 9 of the NCERT textbook. Read the first theoretical chapter. Make sure you’ve gone through the theoretical section of chapter 9 in the NCERT textbook and that you know the formula for the chapter.

When working through the exercises in the NCERT textbook, if you run into any type of difficulty or uncertainty, you may use the SWC NCERT Solutions for class 8 as a point of reference. While you are reading the theory from the textbook, it is imperative that you always have notes prepared. You should make an effort to understand things from the very beginning so that you may create a solid foundation in the topic. Use the NCERT as your parent book to ensure that you have a strong foundation. After you have finished reading the theoretical section of the textbook, you should go to additional reference books.